Problem description
The problem of reconstruction when using a small number of projections is that there are a large number of solutions, which need somehow to be diminished based on the domain and/or type of the object. Thus a priori information is used, such as convexity, connectedness, roundness, etc.
For obtaining the projections under different angles, we have used the following matrix equation:
, where
A - projection matrix;
X – vector form of the binary image;
b – the projection of the image;
Also on each projection there is noise added, so we have as program input:
